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72478720 = 21253539
BaseRepresentation
bin1000101000111…
…11000000000000
312001101022010001
410110133000000
5122023304340
611105245344
71540026136
oct424370000
9161338101
1072478720
1137a04376
1220333854
1312028b22
1498a9756
15656a29a
hex451f000

72478720 has 52 divisors (see below), whose sum is σ = 173976840. Its totient is φ = 28983296.

The previous prime is 72478687. The next prime is 72478723. The reversal of 72478720 is 2787427.

It is a self number, because there is not a number n which added to its sum of digits gives 72478720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72478723) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18711 + ... + 22249.

Almost surely, 272478720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72478720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86988420).

72478720 is an abundant number, since it is smaller than the sum of its proper divisors (101498120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72478720 is an equidigital number, since it uses as much as digits as its factorization.

72478720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3568 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 37.

The square root of 72478720 is about 8513.4434866275. The cubic root of 72478720 is about 416.9367450783.

The spelling of 72478720 in words is "seventy-two million, four hundred seventy-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 3539 4096 5120 7078 10240 14156 17695 20480 28312 35390 56624 70780 113248 141560 226496 283120 452992 566240 905984 1132480 1811968 2264960 3623936 4529920 7247872 9059840 14495744 18119680 36239360 72478720